Retrieval method for the bianisotropic polarizability tensor of Willis acoustic scatterers

Xiaoshi Su, Andrew N. Norris

Research output: Contribution to journalArticlepeer-review

22 Scopus citations


Acoustic materials displaying coupling between pressure and momentum are known as Willis materials. The simplest Willis materials are comprised of subwavelength scatterers that couple monopoles to dipoles and vice versa, with the interaction defined by a polarizability tensor. We propose a method for retrieving the polarizability tensor for subwavelength Willis acoustic scatterers using a finite set of scattering amplitudes. We relate the polarizability tensor to standard T-matrix and S-matrix scattering formalisms. This leads to an explicit method for retrieving the components of the polarizability tensor in terms of a small set of scattered pressure data in the near or far field. Numerical examples demonstrate the retrieval method for one- and two-dimensional configurations.

Original languageEnglish (US)
Article number174305
JournalPhysical Review B
Issue number17
StatePublished - Nov 26 2018

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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